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3 years ago

Find the solution to the system of equations. 4x + 3y = –1 3x – 9y = 33 solution = ( , )

Mathematics

2 answers:

tensa zangetsu [6.8K]3 years ago

8 0

Answer:

(x, y) =(2,-3)

Step-by-step explanation:

4x+3y=-1

3x-9y=33 /:3

4x+3y=-1.....(1)

x-3y=11... (2)

(1)+(2): 5x=10

x-3y=11

x=10/5

x-3y=11

x=2

2-3y=11

x=2

-3y=11-2

x=2

-3y=9

x=2

y=9/(-3)

x=2

y=-3

(x,y)=(2,-3)

Paha777 [63]3 years ago

7 0

Answer:

Step-by-step explanation:

4x + 3y = –1

3x – 9y = 33

12x + 9y = –3 (1)

3x – 9y = 33 (2)

We add equation (1) and (2)

12x + 9y = –3

3x – 9y = 33

___________

15x + 0 = 30

then x = 30/15 = 2

if we substitute x by 2 in equation (2) we get :

3(2) – 9y = 33 ⇒ 6 - 9y = 33 ⇒ -9y = 33 - 6 = 27⇒ y = 27/-9 = -3

finally, x = 2 and y = -3.

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SOLVE FOR X AND THEN SOLVE FOR A

Licemer1 [7]

Answer:

Step-by-step explanation:

A + B= 180°

(5x+20)+(9x-92)=180°

14x-72=180°

14x=252

x=18

A=5(18)+20

A=110

4 0

2 years ago

Read 2 more answers

Keira , larry and gita picked apples at an orchard. keira picked twice as many pounds as larry and 3 times as many as gita. the

Natalija [7]

Number of apples in pounds picked up by Keira = K
Number of apples in pounds picked up by Larry = L
Number of apples in pounds picked up by Gita = G
Total number of apples they picked all together in pounds = 8360
Now from the given question, we know
Number of apples picked up by Kiera = 2L
So
K = 2L
L = K/2
Again Kiera picked up 3 times as many apples as Gita picked.
So,
K = 3G
G = K/3
Now if we add all the apples in pounds picked up by the three of them.
Then
K + L + G = 8360
K + (K/2) + K/3) = 8360
(6K + 3K + 2K)/6 = 8360
11K/6 = 8360
11K = 8360 * 6
11K = 50160
K = 4560
Then
L = K/2
   = 4560/2
   = 2280
G = K/3
   = 4560/3
   = 1520
Now we can say that
Kiera picked 4560 pounds of apple
Larry picked 2280 pounds of apple
Gita picked 1520 pounds of apple

7 0

3 years ago

In the xy -coordinate plane, the coordinates of point s are (-2,-6), and coordinates of point T are (18,9). Point Q lies on line

ira [324]

Answer:

(6,0)

Step-by-step explanation:

The coordinates of the points dividing the line segment in ratio m:n can be calculated as:

$(\frac{mx_{2}+nx_{1}}{m+n} ,\frac{my_{2}+ny_{1}}{m+n} )$

Here x1, y1 are the coordinates of first point S (-2, -6) and x2, y2 are the coordinates of second point T(18, 9).

In this case m will be 2 and n will be 3 as the ratio is 2:3

Using all these values we can find the coordinates of point Q

$( \frac{2(18)+3(-2)}{2+3},\frac{2(9)+3(-6)}{2+3} )\\\\ = (\frac{30}{5} ,\frac{0}{5} )\\\\ =(6,0)$

Thus, the coordinates of point Q which divides the line segment ST in ratio of 2:3 are (6,0)

5 0

3 years ago

The cost of producing n necklaces is p(n) = 15n + 60. The necklaces cost $30, which can be represented by c(n) = 30n. For how ma

zysi [14]

Answer:

n=4

Step-by-step explanation:

5 0

3 years ago

Ryker wants a new car. The dealership offers him a loan at 9% annual interest for 6 years. If Ryker wants to do some calculation

Contact [7]

The monthly interest rate is 0.75%

<u>Step-by-step explanation:</u>

The rate of interest= 9%

Total time = 6years

Interest rate per month = 9/12

= 0.75%

Monthly payment =cost of the car + 0.75% of cost of car

Interest per month is 0.75%

3 0

3 years ago